Sib. Èlektron. Mat. Izv., 2021 Volume 18, Issue 2, Pages 1023–1026
(Mi semr1418)
|
Geometry and topology
On metrics admitting a discontinuum set of non-congruent immersions in $\mathbb R^3$
I. Kh. Sabitov Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991, Russia
Abstract:
We present a description of metrics of revolution immersible in
$\mathbb R^3$ by a discontinuum set of non-congruent isometric surfaces.
Keywords:
metric, isometric immersion, surface of revolution, equation, set of solutions.
UDC:
514
MSC: 53C Received August 1, 2021, published
October 5, 2021
DOI:
10.33048/semi.2021.18.077
© , 2024
Fulltext:
PDF file (259 kB)